Which of the following has the largest moment of inertia?

  • A
    Moment of inertia of a circular ring about an axis perpendicular to its plane.
  • B
    Moment of inertia of a disc about an axis perpendicular to its plane.
  • C
    Moment of inertia of a solid sphere.
  • D
    Moment of inertia of a rod.

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The ratio of radii of gyration of a ring to a disc (both circular) of same radii and mass,about a tangential axis perpendicular to the plane is

The moment of inertia of a cylinder of mass $M$,length $L$,and radius $R$ about an axis passing through its centre and perpendicular to the axis of the cylinder is $I = M \left(\frac{R^2}{4} + \frac{L^2}{12}\right)$. If such a cylinder is to be made for a given mass of material,the ratio $L/R$ for it to have the minimum possible $I$ is

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